Part 1Your firm is planning to invest in an automated packaging plant. Harburtin Industries is an all-equity firm that specializes in this business. Suppose Harburtin's equity beta is 0.880.88, the risk-free rate is 3 %3%, and the market risk premium is 5 %5%. a. If your firm's project is all-equity financed, estimate its cost of capital. After computing the project's cost of capital, you decided to look for other comparables to reduce estimation error in your cost of capital estimate. You find a second firm, Thurbinar Design, which is also engaged in a similar line of business. Thurbinar has a stock price of $2323 per share, with 1414 million shares outstanding. It also has $102102 million in outstanding debt, with a yield on the debt of 4.1 %4.1%. Thurbinar's equity beta is 11.b. Assume Thurbinar's debt has a beta of 00. Estimate Thurbinar's unlevered beta. Use the unlevered beta and the CAPM to estimate Thurbinar's unlevered cost of capital.c. Estimate Thurbinar's equity cost of capital using the CAPM. Then assume its debt cost of capital equals its yield and using these results, estimate Thurbinar's unlevered cost of capital.d. Explain the difference between your estimate in part (b) and part (c).e. You decide to average your results in part (b) and part (c), and then average this result with your estimate from part (a). What is your estimate for the cost of capital of your firm's project? Part 1a. If your firm's project is all-equity financed, estimate its cost of capital. Harburtin's cost of capital is [input]enter your response here %. (Round to two decimal places.)

Question

Part 1Your firm is planning to invest in an automated packaging plant. Harburtin Industries is an​ all-equity firm that specializes in this business. Suppose Harburtin​'s equity beta is 0.880.88​, the​ risk-free rate is 3 %3%​, and the market risk premium is 5 %5%. a. If your​ firm's project is​ all-equity financed, estimate its cost of capital. After computing the​ project's cost of​ capital, you decided to look for other comparables to reduce estimation error in your cost of capital estimate. You find a second​ firm, Thurbinar Design​, which is also engaged in a similar line of business. Thurbinar has a stock price of ​$2323 per​ share, with 1414 million shares outstanding. It also has ​$102102 million in outstanding​ debt, with a yield on the debt of 4.1 %4.1%. Thurbinar​'s equity beta is 11.b. Assume Thurbinar​'s debt has a beta of 00. Estimate Thurbinar​'s unlevered beta. Use the unlevered beta and the CAPM to estimate Thurbinar​'s unlevered cost of capital.c. Estimate Thurbinar​'s equity cost of capital using the CAPM. Then assume its debt cost of capital equals its yield and using these​ results, estimate Thurbinar​'s unlevered cost of capital.d. Explain the difference between your estimate in part ​(b​) and part ​(c​).e. You decide to average your results in part ​(b​) and part ​(c​), and then average this result with your estimate from part ​(a​). What is your estimate for the cost of capital of your​ firm's project? Part 1a. If your​ firm's project is​ all-equity financed, estimate its cost of capital. Harburtin​'s cost of capital is [input]enter your response here ​%. ​ (Round to two decimal​ places.)

BlackTom AI · Accepted Answer

Using the CAPM formula: rE = rRF + beta × (market risk premium). For an all-equity financed project the project’s cost of capital equals the equity cost of capital.

Relevant concepts:
- CAPM gives the required return on equity given systematic risk (beta).
- For an all-equity project, no debt effects (leverage) alter the required return.
- Use consistent percentage units.

Step-by-step calculation with intermediate steps:
1. Risk-free rate rRF = 3.00%.
2. Market risk premium = 5.00%.
3. Equity beta = 0.88.
4. Compute the beta times the market risk premium:
   0.88 × 5.00% = 0.88 × 0.05 = 0.0440 = 4.40%.
5. Add the risk-free rate:
   rE = 3.00% + 4.40% = 7.40%.

Why this is correct:
- CAPM directly provides the required return for equity given beta and market premium. Because the project is financed entirely with equity, there is no debt-related adjustment; therefore the project’s discount rate equals the equity required return computed above.
- Units and arithmetic were handled consistently (percentages converted correctly and summed).

Common mistakes to avoid:
- Forgetting to multiply beta by the market premium (instead of the full market return).
- Using levered/unlevered beta incorrectly for an all-equity project.
- Misplacing decimal points (e.g., treating 5% as 5 instead of 0.05).

Conclusion:
The project’s cost of capital (all-equity financed) is 7.40%, which matches the provided answer.

类似问题

Part 1Truman Limited has preferences shares trading at $ 55$55 each. The next preference dividend of $ 3$3 is due in one year. What is Truman's cost of capital for preference shares? Part 1The cost of capital for preferences shares is [input]enter your response here %. (Round to one decimal place.)

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